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Finding the Fourth Proportional to 613.36, 919.91 and 180.55

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Solution

The fourth proportional to 613.36, 919.91 and 180.55 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.36 : 919.91 = 180.55 : x
  2. Step 2: Convert to fraction form
    613.36/919.91 = 180.55/x
  3. Step 3: Cross multiply
    613.36x = 919.91 × 180.55
  4. Step 4: Simplify right side
    613.36x = 166,088.85
  5. Step 5: Solve for x
    x = 166,088.85/613.36
  6. Step 6: Final answer
    x = 270.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.